12985900 has 72 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4872000.

The previous prime is 12985891. The next prime is 12985919. The reversal of 12985900 is 958921.

12985900 = 178² + 179² + ... + 354².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182865 + ... + 182935.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^12985900 is an apocalyptic number.

12985900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12985900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12985900 is an abundant number, since it is smaller than the sum of its proper divisors (17012180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12985900 is a wasteful number, since it uses less digits than its factorization.

12985900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 12985900 is about 3603.5954267925. The cubic root of 12985900 is about 235.0484282267.

The spelling of 12985900 in words is "twelve million, nine hundred eighty-five thousand, nine hundred".